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Showing 1-20 of 547 results

  1. Sharp Condition for Global Existence of Supercritical Nonlinear Schrödinger Equation with a Partial Confinement

    We study the L 2 -supercritical nonlinear Schrödinger equation (NLS) with a partial confinement, which is the limit case of the cigar-shaped model in...

    Cheng-lin Wang, Jian Zhang in Acta Mathematicae Applicatae Sinica, English Series
    Article 28 December 2022

  2. Rogue Waves and Their Patterns in the Vector Nonlinear Schrödinger Equation

    In this paper, we study the general rogue wave solutions and their patterns in the vector (or M -component) nonlinear Schrödinger (NLS) equation. By...

    Guangxiong Zhang, Peng Huang, ... Chengfa Wu in Journal of Nonlinear Science
    Article 04 October 2023

  3. Interaction with an obstacle in the 2D focusing nonlinear Schrödinger equation

    We present a numerical study of solutions to the 2 d cubic and quintic focusing nonlinear Schrödinger equation in the exterior of a smooth, compact...

    Oussama Landoulsi, Svetlana Roudenko, Kai Yang in Advances in Computational Mathematics
    Article 13 September 2023

  4. An integrable matrix NLS equation on star graph and symmetry-dependent connection conditions of vertex

    An integrable matrix nonlinear Schrödinger (NLS) equation on a star graph with semi-infinite incoming and outgoing bonds are presented by attaching a...

    Ruguang Zhou, Hongyang Zhu in Computational and Applied Mathematics
    Article 04 February 2023

  5. Linear Instability of Breathers for the Focusing Nonlinear Schrödinger Equation

    Relying upon tools from the theory of integrable systems, we discuss the linear instability of the Kuznetsov–Ma breathers and the Akhmediev breathers...

    Mariana Haragus, Dmitry E. Pelinovsky in Journal of Nonlinear Science
    Article 09 July 2022

  6. Localized Waves on the Periodic Background for the Derivative Nonlinear Schrödinger Equation

    The localized waves based on the plane, periodic and double-periodic backgrounds for the derivative nonlinear Schrödinger equation are constructed in...
    Lifei Wu, Yi Zhang, ... Jie ** in Nonlinear and Modern Mathematical Physics
    Conference paper 2024

  7. A nonlinear Schrödinger equation with Coulomb potential

    Changxing Miao, Junyong Zhang, Jiqiang Zheng in Acta Mathematica Scientia
    Article 03 September 2022

  8. Nonlinear Schrödinger Equation with Singularities

    We describe results on certain types of nonlinear Schrödinger equations, mainly the cubic equation with or without potential. We are interested in...
    Nevena Dugandžija, Ivana Vojnović in Qualitative Properties of Dispersive PDEs
    Conference paper 2022

  9. Mixed Higher-Order Rogue Waves and Solitons for the Coupled Modified Nonlinear Schrödinger Equation

    The coupled modified nonlinear Schrödinger equation, which appears in birefringent optical fibers and describes the propagation of the short pluses...

    Tao Xu, Guoliang He, ... Yanqing Wang in Qualitative Theory of Dynamical Systems
    Article 13 December 2022

  11. Schemes for Generating Different Nonlinear Schrödinger Integrable Equations and Their Some Properties

    In the paper, we want to derive a few of nonlinear Schrödinger equations with various formats and investigate their properties, such as symmetries,...

    Yu-feng Zhang, Hai-feng Wang, Na Bai in Acta Mathematicae Applicatae Sinica, English Series
    Article 01 July 2022

  13. Mass- and energy-conserving Gauss collocation methods for the nonlinear Schrödinger equation with a wave operator

    A fully discrete finite element method with a Gauss collocation in time is proposed for solving the nonlinear Schrödinger equation with a wave...

    Shu Ma, Jilu Wang, ... Zhimin Zhang in Advances in Computational Mathematics
    Article 23 October 2023

  14. The Discrete Nonlinear Schrödinger Equation with Linear Gain and Nonlinear Loss: The Infinite Lattice with Nonzero Boundary Conditions and Its Finite-Dimensional Approximations

    The study of nonlinear Schrödinger-type equations with nonzero boundary conditions introduces challenging problems both for the continuous (partial...

    G. Fotopoulos, N. I. Karachalios, ... K. Vetas in Journal of Nonlinear Science
    Article 11 June 2024

  17. Growth bound and nonlinear smoothing for the periodic derivative nonlinear Schrödinger equation

    Bradley Isom, Dionyssios Mantzavinos, Atanas Stefanov in Mathematische Annalen
    Article 23 November 2022

  18. A stochastic thermalization of the Discrete Nonlinear Schrödinger Equation

    We introduce a mass conserving stochastic perturbation of the discrete nonlinear Schrödinger equation that models the action of a heat bath at a...

    Amirali Hannani, Stefano Olla in Stochastics and Partial Differential Equations: Analysis and Computations
    Article 24 June 2022

  20. Birkhoff Normal Form for the Derivative Nonlinear Schrödinger Equation

    This paper is concerned with the derivative nonlinear Schrödinger equation with periodic boundary conditions. We obtain complete Birkhoff normal form...

    Jian Jun Liu in Acta Mathematica Sinica, English Series
    Article 15 January 2022
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